766248 has 32 divisors (see below), whose sum is σ = 2189760. Its totient is φ = 218880.

The previous prime is 766247. The next prime is 766261. The reversal of 766248 is 842667.

766248 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766248.

It is not an unprimeable number, because it can be changed into a prime (766247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113 + ... + 2448.

It is an arithmetic number, because the mean of its divisors is an integer number (68430).

2⁷⁶⁶²⁴⁸ is an apocalyptic number.

It is an amenable number.

766248 is an abundant number, since it is smaller than the sum of its proper divisors (1423512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

766248 is a wasteful number, since it uses less digits than its factorization.

766248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4573 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 766248 is about 875.3559276089. The cubic root of 766248 is about 91.5074496010.

The spelling of 766248 in words is "seven hundred sixty-six thousand, two hundred forty-eight".